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332111020111233 = 31127313791481491
BaseRepresentation
bin100101110000011011001111…
…1011000010011010110000001
31121112220111121000102012012220
41023200312133120103112001
5322012301332122024413
63134201410230441253
7126645141452100126
oct11340663730232601
91545814530365186
10332111020111233
1196903546811100
12312b9410803229
1311340c1ca3442c
145c0238b11a74d
15285de83063223
hex12e0d9f613581

332111020111233 has 48 divisors (see below), whose sum is σ = 496999186033728. Its totient is φ = 197073085017600.

The previous prime is 332111020111231. The next prime is 332111020111249.

332111020111233 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 332111020111233 - 21 = 332111020111231 is a prime.

It is a super-2 number, since 2×3321110201112332 (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (332111020111231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42110383 + ... + 49371108.

It is an arithmetic number, because the mean of its divisors is an integer number (10354149709036).

Almost surely, 2332111020111233 is an apocalyptic number.

332111020111233 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

332111020111233 is a deficient number, since it is larger than the sum of its proper divisors (164888165922495).

332111020111233 is a wasteful number, since it uses less digits than its factorization.

332111020111233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91481726 (or 91481715 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The spelling of 332111020111233 in words is "three hundred thirty-two trillion, one hundred eleven billion, twenty million, one hundred eleven thousand, two hundred thirty-three".

Divisors: 1 3 11 33 73 121 137 219 363 411 803 1507 2409 4521 8833 10001 16577 26499 30003 49731 110011 330033 1210121 3630363 91481491 274444473 1006296401 3018889203 6678148843 11069260411 12532964267 20034446529 33207781233 37598892801 73459637273 137862606937 220378911819 413587820811 808056010003 914906391491 1516488676307 2424168030009 2744719174473 4549466028921 10063970306401 30191910919203 110703673370411 332111020111233